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The time-dependent dynamics of formation, relaxation and auto-reparation of double DNA breaks by the combined irradiation action and nontraditional processes of degradation were considered. The auto-repairing of double DNA breaks is connected with the peculiarities of long-range interaction of nucleotide charges, atoms and molecules in the intracellular milieu. The properties of intracellular liquid and the characteristics of force interaction between the end pairs of nucleotides in the area of DNA break in response to radiation are changed. Each kind of radiation is characterized by the certain effectiveness of double DNA beaks formation but simultaneously one creates the conditions for their liquidation. On the basis of the analysis and correlation of these processes, time-dependent theory for DNA degradation was created, including hormesis phenomenon, radiation antagonism, the validity of anomaly influence of low and large doses at sharp and chronic radiation and others effects. The qualitative and quantitative correspondence of the theory and experimental results of radiation biology was obtained.